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Finding the Fourth Proportional to 434.14, 651.22 and 109.52

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Solution

The fourth proportional to 434.14, 651.22 and 109.52 is: 164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.14 : 651.22 = 109.52 : x
  2. Step 2: Convert to fraction form
    434.14/651.22 = 109.52/x
  3. Step 3: Cross multiply
    434.14x = 651.22 × 109.52
  4. Step 4: Simplify right side
    434.14x = 71,321.61
  5. Step 5: Solve for x
    x = 71,321.61/434.14
  6. Step 6: Final answer
    x = 164.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.